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Finding the Fourth Proportional to 9,706.41, 13,377.08 and 7,049.21

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Solution

The fourth proportional to 9,706.41, 13,377.08 and 7,049.21 is: 9,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.41 : 13,377.08 = 7,049.21 : x
  2. Step 2: Convert to fraction form
    9,706.41/13,377.08 = 7,049.21/x
  3. Step 3: Cross multiply
    9,706.41x = 13,377.08 × 7,049.21
  4. Step 4: Simplify right side
    9,706.41x = 94,297,743.98
  5. Step 5: Solve for x
    x = 94,297,743.98/9,706.41
  6. Step 6: Final answer
    x = 9,715.00

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.